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1.Relation and Function
normal
If $f(x)$ is a polynomial function satisfying the condition $f(x) . f(1/x) = f(x) + f(1/x)$ and $f(2) = 9$ then :
A
$2 f(4) = 3 f(6)$
B
$14 f(1) = f(3)$
C
$9 f(3) = 2 f(5)$
D
$(B)$ or $(C)$ both
Solution
$f (x) = 1 + x^n\,\, or\,\, 1 -x^n$
$ \Rightarrow n = 3 \Rightarrow f(x) = x^3 + 1 $
Standard 12
Mathematics